Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

Vladimir Gol'dshtein; Yaroslav Anatol evich Kopylov

doi:10.33048/semi.2019.16.075

Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

Vladimir Gol'dshtein, Yaroslav Anatol evich Kopylov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincaré-Sobolev-Orlicztype inequalities is discussed.

Original language	English
Pages (from-to)	1079-1090
Number of pages	12
Journal	Siberian Electronic Mathematical Reports
Volume	16
DOIs	https://doi.org/10.33048/semi.2019.16.075
State	Published - 1 Jan 2019

Keywords

Differential form
Orlicz cohomology
Poincaré-Sobolev- Orlicz inequality
Torsion

ASJC Scopus subject areas

General Mathematics

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10.33048/semi.2019.16.075

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title = "Some calculations of Orlicz cohomology and Poincar{\'e}-Sobolev-Orlicz inequalities",

abstract = "We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincar{\'e}-Sobolev-Orlicztype inequalities is discussed.",

keywords = "Differential form, Orlicz cohomology, Poincar{\'e}-Sobolev- Orlicz inequality, Torsion",

author = "Vladimir Gol'dshtein and Kopylov, {Yaroslav Anatol evich}",

note = "Publisher Copyright: {\textcopyright} 2019, Sobolev Institute of Mathematics.",

year = "2019",

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doi = "10.33048/semi.2019.16.075",

language = "English",

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AU - Gol'dshtein, Vladimir

AU - Kopylov, Yaroslav Anatol evich

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Y1 - 2019/1/1

N2 - We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincaré-Sobolev-Orlicztype inequalities is discussed.

AB - We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincaré-Sobolev-Orlicztype inequalities is discussed.

KW - Differential form

KW - Orlicz cohomology

KW - Poincaré-Sobolev- Orlicz inequality

KW - Torsion

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JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

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Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

Abstract

Keywords

ASJC Scopus subject areas

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